ABSTRACT In this work, diagnosing of reunion of human tibia fracture across limbs using a simple mathematical model is demonstrated. At present in practice, the fracture reunion is predicted using repeated radiographs. Frequent exposure to such radiation causes harmful health effects in patients. Hence, as an alternative, modelling technique using electrical data recorded across patients stimulated with DC electric voltage of range 0.1–1V is proposed. Various model structures, namely P1D and P1DZ models were tried. An error analysis was performed and it was observed that the measured data fitted P1DZ model with an error less than 5%. Model parameters namely process gain and time constant were observed. When the model parameter process gain becomes constant, the time constant reduces significantly indicating the healing of fracture. Reunion was also confirmed with simultaneously taken radiographs. The fact that human bone is a biological semi-conductor therefore exhibits electrical properties and bone does behave like a capacitor is proved by empirical methods in our study is the novelty of the work.

中文翻译：

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基于电刺激数据的断肢愈合期预测模型

摘要 在这项工作中，演示了使用简单的数学模型诊断人类胫骨四肢骨折的重聚。目前在实践中，使用重复X线片来预测骨折再愈合。频繁接触此类辐射会对患者的健康造成有害影响。因此，作为替代方案，建议使用在 0.1-1V 范围内的直流电压刺激下记录的患者的电数据进行建模。尝试了各种模型结构，即 P1D 和 P1DZ 模型。进行了误差分析，观察到实测数据符合P1DZ模型，误差小于5%。观察模型参数，即过程增益和时间常数。当模型参数过程增益不变时，时间常数显着减小，表明骨折愈合。同时拍摄的X光片也证实了团聚。在我们的研究中，通过经验方法证明了人体骨骼是一种生物半导体，因此具有电特性并且骨骼确实表现得像电容器的事实是这项工作的新颖性。